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57459983868 = 22327243175577
BaseRepresentation
bin110101100000111000…
…011100010111111100
312111022111002121122200
4311200320130113330
51420134223440433
642221410511500
74102624542600
oct654070342774
9174274077580
1057459983868
1122406732381
12b177295590
135559459a71
142ad13c7500
151764770613
hexd60e1c5fc

57459983868 has 108 divisors (see below), whose sum is σ = 169353973152. Its totient is φ = 16378830720.

The previous prime is 57459983857. The next prime is 57459983873. The reversal of 57459983868 is 86838995475.

57459983868 is a `hidden beast` number, since 5 + 7 + 459 + 98 + 3 + 86 + 8 = 666.

It is a super-2 number, since 2×574599838682 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57459983796 and 57459983805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 722496 + ... + 798072.

It is an arithmetic number, because the mean of its divisors is an integer number (1568092344).

Almost surely, 257459983868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57459983868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84676986576).

57459983868 is an abundant number, since it is smaller than the sum of its proper divisors (111893989284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57459983868 is a wasteful number, since it uses less digits than its factorization.

57459983868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76032 (or 76020 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 57459983868 in words is "fifty-seven billion, four hundred fifty-nine million, nine hundred eighty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 431 441 588 862 882 1293 1724 1764 2586 3017 3879 5172 6034 7758 9051 12068 15516 18102 21119 27153 36204 42238 54306 63357 75577 84476 108612 126714 151154 190071 226731 253428 302308 380142 453462 529039 680193 760284 906924 1058078 1360386 1587117 2116156 2720772 3174234 3703273 4761351 6348468 7406546 9522702 11109819 14813092 19045404 22219638 32573687 33329457 44439276 65147374 66658914 97721061 130294748 133317828 195442122 228015809 293163183 390884244 456031618 586326366 684047427 912063236 1172652732 1368094854 1596110663 2052142281 2736189708 3192221326 4104284562 4788331989 6384442652 8208569124 9576663978 14364995967 19153327956 28729991934 57459983868